X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?a=blobdiff_plain;ds=sidebyside;f=octave_packages%2Flinear-algebra-2.2.0%2F%40kronprod%2Fnot_done%2Feig.m;fp=octave_packages%2Flinear-algebra-2.2.0%2F%40kronprod%2Fnot_done%2Feig.m;h=d3773a0183bc874a4c046e6ad6f70a332e84f992;hb=c880e8788dfc484bf23ce13fa2787f2c6bca4863;hp=0000000000000000000000000000000000000000;hpb=1705066eceaaea976f010f669ce8e972f3734b05;p=CreaPhase.git diff --git a/octave_packages/linear-algebra-2.2.0/@kronprod/not_done/eig.m b/octave_packages/linear-algebra-2.2.0/@kronprod/not_done/eig.m new file mode 100644 index 0000000..d3773a0 --- /dev/null +++ b/octave_packages/linear-algebra-2.2.0/@kronprod/not_done/eig.m @@ -0,0 +1,71 @@ +## Copyright (C) 2010 Soren Hauberg +## +## This program is free software; you can redistribute it and/or modify +## it under the terms of the GNU General Public License as published by +## the Free Software Foundation; either version 3, or (at your option) +## any later version. +## +## This program is distributed in the hope that it will be useful, but +## WITHOUT ANY WARRANTY; without even the implied warranty of +## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +## General Public License for more details. +## +## You should have received a copy of the GNU General Public License +## along with this file. If not, see . + +## -*- texinfo -*- +## @deftypefn {Function File} {@var{lambda} =} eig (@var{KP}) +## @deftypefnx{Function File} {[var{V}, @var{lambda}] =} eig (@var{KP}) +## XXX: Write help text +## @seealso{eig, @kronprod/svd} +## @end deftypefn + +function [V, lambda] = eig (KP, A) + ## XXX: This implementation provides a different permutation of eigenvalues and + ## eigenvectors compared to 'eig (full (KP))' + + ## Check input + if (nargin == 0 || nargin > 2) + print_usage (); + endif + + if (!isa (KP, "kronprod")) + error ("eig: first input argument must be of class 'kronprod'"); + endif + + if (!issquare (KP)) + error ("eig: first input must be a square matrix"); + endif + + ## Take action + if (nargin == 1) + if (nargout <= 1) + ## Only eigenvalues were requested + if (issquare (KP.A) && issquare (KP.B)) + lambda_A = eig (KP.A); + lambda_B = eig (KP.B); + V = kronprod (lambda_A, lambda_B); + else + ## We should be able to do this using SVD + error ("eig not implemented (yet) for Kronecker products of non-square matrices"); + endif + + elseif (nargout == 2) + ## Both eigenvectors and eigenvalues were requested + if (issquare (KP.A) && issquare (KP.B)) + [V_A, lambda_A] = eig (KP.A); + [V_B, lambda_B] = eig (KP.B); + V = kronprod (V_A, V_B); + lambda = kronprod (lambda_A, lambda_B); + else + ## We should be able to do this using SVD + error ("eig not implemented (yet) for Kronecker products of non-square matrices"); + endif + endif + + elseif (nargin == 2) + ## Solve generalised eigenvalue problem + ## XXX: Is there a fancy way of doing this? + [V, lambda] = eig (full (KP), full (A)); + endif +endfunction